Maths Teacher Goes through YOUR SUBMITTED A LEVEL MATHS QUESTIONS 3

okay oops okay okay ah hello ice cream how are you so we'll wait for a few more people to join we haven't really had any new submissions uh in terms of questions so if you have a topic you want me to go through or or whatever or maybe we can go through a past paper uh all of these are totally fine so I don't mind going through the I think the 2022 or 2021 past paper which might be good or I can go through a topic perhaps um stats mechanics or something like that yeah uh feel free to send in any questions that you want uh on the Discord or on the email if you need to or want to um but other than that I don't mind doing a past paper if you guys want just uh let me know so and we have nothing submitted just yet you do the past paper I don't see why not um I'll stick with the paper one for now cuz I'm I'm going to base it on the assumption that you guys haven't really some of you guys I should preface some of you guys may not have done uh much if any stats and mechanics yet so I'm going to assume that you have haven't and so we're going to stick to the pure stuff for now so this is last year's not last year what year was this 2022 I want to say 2022 yeah it's 2022 so it's not last year is the year before so about a year and a half ago there it is perfect and again if anyone submits a question just let me know and we'll we'll go through that as well so going through uh the 2022 paper for now uh first question integration it's fairly standard so you're going to get an integration question on your pure guaranteed so it's either going to be an area or it's going to be something like this um or it could also be you know find the equation of the line when you're given or the curve when you're given Dy by DX so something along those lines but you're guaranteed to get it what would I do first I would always write this in index form first so we have here the integral of 8X cubed and then we're going to keep Theus 3 /2 that's totally fine but instead of root X we're going to have X to the^ of a half and because it's on the bottom of the fraction that's still no good so we're going to make it x to the minus a half which essentially brings this this thing up to the top and then plus 5 DX and you want to do this really carefully because a lot of students rush it or they use a calculator bear in mind you can't just use a calculator to do it because they won't really accept it so 8X add one to the power and divide by the new power so I'm doing 8 / 4 which is 2 X to the^ 4 okay so I've added one to the power which makes it four then I'm dividing the front by the new Power same thing here we have 3 over2 we add one to the power that makes it to the half so I'm going to write X the^ of a half first so we're doing 3 over2 divided by a half which if you don't know is just going to give me three again you can use your calculator for all this so 3 over2 divided by a half if you need to this just going to give you three and it's still negative and again if you really want to do do that you could even put a negative in front there to3 okay and then what happens with a constant you just slap on an an X at the end and then you have a plus c that's the full four marks that's it but again make it slow take it carefully we recently marked some pure papers CU we had mock exams and people rushed they they didn't do that well because of it so moving on to question two using Factor theorem so Factor theorem simply states that if x + 3 is a factor then that means F of minus 3 should equal zero so what you do here is you have to do the substitution you can't just write F ofus 3 equal 0 so we're going to sub the actual thing in and then you can use a calculator or just say equals z afterwards uh not two three my apologies s + 2 - 3 + 15 again for those of you that may have just joined feel free to submit questions into the uh Discord or you can email me but let me know if there's anything else you want to do but for now we'll just go through the 2022 paper that's totally fine by me and then of course it's just going to equal zero if you want you check it but as a spoiler it's always going to work out now why so then why would I bother checking it well just in case I make a mistake if this doesn't equal zero I've made a mistake so that would be the reason why I would actually do the substitution okay but again completely up to you I get zero so whoops equals zero therefore x + 3 is a factor like so Part B therefore we need to find the constants such that and this is a bit annoying because they only give two marks for it but the the method you're supposed to use is you are supposed to use long algebraic division which is kind of annoying but that is the way it is so what I would do is I would put x + 3 down here and then we're going to have our equation on the inside so 2 x cubed + 5 x^ 2 + 2x + 15 I'm going to double check that I got that right so doing something along that line and then you can just quickly do it um I have seen your yourage ice cream so yeah synthetic division can be faster it can it it is can be easier as well but just be aware that this method is the one that you expected to know um I haven't really heard of anyone dropping marks of it yet but you know it's the exam Bo like who who knows what they want to do so I agree that this isn't the fastest way to do it but the exam board do specifi that they want you to know this method so uh kind of up to you in that sense oops uh subtract again so 2 - - 3 would give me uh 5 x and that's still + 15 and then of course once I divide this we get plus 5 I do not need to complete the division because I can see that it's going to finish so then we just have uh x - 3 and then this whole thing in a bracket 2x^2 - x + 5 so not too tedious but that is the solution they are expecting so getting there part C hence show that it only has one real root so how can you show this well if it only has one real root then that means this thing is the only real root why well we've already proven that it is a root because we've subbed in the value so what I would then do is so we know this this is a root we know that works so this we cannot factorize is what they're telling us so of course proving you can't factorize something is not that easy so instead I would personally use the discriminant the discriminant is the fastest way to do it so I would just use B ^2 - 4 a c and evaluate what I get by the way just from an examiner's perspective I would always write b^2 - 4 a before I substitute it in because it's sometimes not clear what you're doing if I just write -1 2 - 4 A and C I'm hoping you guys can see that it's not the easiest thing to interpret right sometimes so what would that give me that gives me 1 minus uh 40 yeah 1 - 40 say that's - 39 and because that's less than zero there are no Solutions technically no real solutions I should put in there that's how you show it again there's a lot of show questions in AEV maths and a lot of you do some pretty good stuff but does it actually prove what they're asking you to prove so why does this show there's only one real root well it shows that this here has no real Roots this is the only real root therefore there's only one so some people try and prove that B2 - 4 A C equals 0 but just be careful with that okay Part D write down the uh real root of the equation f ofx - 5 is equal to zero um I mean again you could just say that it's it's X+ 5 that's just stating the the factor theorem again that's it again for anyone that's just joined feel free to submit any questions on the Discord or um via uh email but for now we're just going to go through the 2022 paper step by step and let see how far we get I might skip some questions if it's too easy um ah this is pretty good so we have this situation with vectors so my Approach with vectors is always to draw a diagram I know some people don't like doing it and I know that some of you don't do it and you still get the right answer diagrams in my opinion are really really useful so if I just quickly draw some kind of triangle I don't care what it looks like particularly p q r hopefully you can see it's actually not that tedious to just draw and label a diagram and this will help us with all three parts so that's pretty useful and then PR so why do I really like the diagram well you know how there's a lot of equations in your textbook about working out QR by taking a certain vector and doing all this other stuff I don't like any of that instead I use the GCSE strategy because it works so what do I mean by that well the GCSE strategy was it's a game I want to go from Q to R but you can only go along vectors you know so I cannot go straight from Q to R because I don't know the vector QR so instead I have to go from Q to p and then from P to R now the rule is if you go against the vector so in the opposite direction you have to make it negative you need to take the opposite Signs Now be careful with this you're not just making three negative you're making three and five negative so the way I would write it cuz I'm very paranoid is I'd say QR equals negative and then put the entire thing in a bracket and then I'm going along this Vector so that's going to keep the same sign now this doesn't mean that the 15 becomes positive it's still negative I just don't change the sign again there are formulas to work this out but memorizing formulas is a recipe for disaster because you will forget in some exam at some point so limit the amount you need to rely on your memory okay so we have -3 i+ 13 I that is 10 I we have - 5 i - 15 uh sorry - 5 J - 15 J which is minus 20 J done and that is literally the same strategy I've used in GCS maths Part B hence find well whenever you take the uh magnet itude of a vector all you're doing is Pythagoras's Theorem so what do I mean by that well this Vector QR is 10 spots to the right it's 20 spots down and so essentially we're just working out the hypotenuse of a right angle triangle so all you're doing is you're doing Square < TK 10^ 2 + 20 2 now some people criticize me rightly so and they say well why don't you make this -2 it's because we're squaring it anyway so it doesn't matter if it's - 20 or posit 20 or whatever because with squaring it the sign does not matter did it say give your answer as a simplified s that's fine cuz my calculator would just do it for me I don't even need to think so that's hopefully a really nice four marks that you guys are guaranteed to get okay the only bit that I would say might struggle on is part A but if you have a diagram part A is guaranteed and therefore Part B is guaranteed now part C gets a bit interesting this is where you'd need to draw a DI diagram anyway right or at least I would hope you would draw a diagram anyway so regardless if you have to draw it now you may have to go back and check your answers so draw it first it's the easiest thing to do when we do stats and mechanics in my tuition lessons or in school I all drawing a diagram is guaranteed you have to do it so Point s lies on the line segment such that Q to S to S to R is 3 to2 so in other words there's a point s here there are three parts on this side and two parts on this side we need to find P to S so here's what I'm going to do is I'm going to rub out my previous lines and again I can't go straight from P to S I don't have a vector going straight along here but I do have one going from P to q and then Q to S now you could also do p to R and R to S you will get the exact same answer don't worry so whoops I'm going along this Vector so I'm going to keep it as 3 I + 5 J now I don't know what Q to S is right but what I do know is it's a fraction of Q to R the question is what fraction is it and this is where your ratio come into play if I have a 3:2 ratio the fraction is three over 3 + 2 5 so it's 3 fths of the total length QR so I'm going to do plus 3 fths of 10 I minus 20 J and then I'm just simplifying it that's it six marks in my opinion pretty easy but people make mistakes again for those of you that have just joined we're doing the 2022 paper but if you have any questions you can submit them on Discord into the um uh stream questions Tab and I'll go through them we're doing this just cuz we had no other questions to do so feel free to stick around or ask any questions that you have so 3 I 3 fths of 10 well divide it by 5 that's 2 * 3 is 6 so 3 + 6 is 9 I again you can use a calculator you don't have to be arrogant like I'm being 20 ID 5 is 4 * 3 is 12 so we have 5 - 12 which is - 7 J but again you can use a calculator to verify that's really short for six marks really short it's one two three four five six lines again any questions feel free to stop me or maybe we could skip ahead so question four we have a sketch of a triangle and it has various sides 7 x x + 2 3x + 10 we have two angles well we have one missing angle we have one angle we know okay show that 17 x^2 - 35x - 48 is equal to zero so let's think about what they're trying to tell us here well okay got it and again this is what you need to think about is you need to think about what exactly are they asking us to do like what are we trying to solve now we have an equation here that to show that let's look at our information and think about how we can use that well I don't have the area of the triangle so it can't be an area of a triangle question I don't have the perimeter it can't be the perim perer it can't be S or cosine rule because I can't sorry it can't be sign rule because I don't have pairs of values like I don't have a Theta in my answer so I can't use S rule but I can use cosine rule because I have three sides in the angle between them that is the only equation that I have all of the information for so that's what I'm going to do so remember the only thing that matters with uh cosine rule is that the side opposite the angle is always going to to be your a so just so you're aware a 2 is = B + c^ 2 - 2 BC because a so a is going to be 3x + 10^ 2 and again with this take your time take it slowly do not rush B and C it doesn't matter which way around you do it so I'm just going to put this as B and the other one is c x + 2 but again silly mistakes happen all the time so please do not make them cos 60 now remember back in GC you're meant to memorize a bunch of values for C well this is a level now you can just use a calculator for cos 60 is a half so if I say that this equals a half by the way we have 2 * a half so I can actually cancel out those two things expand the brackets so we have 9 x^2 + 60 x + 100 equal uh 7 is 49 so 49 x^2 + X2 + 4x + 4 and then we have lastly but certainly not least 7x2 W minus 14x don't forget there's a minus sign in front which is why I almost slipped up on but that's what I get so far thank you very much T again for those that have just joined we're doing the 2022 paper uh feel free to submit questions on the Discord though just let me know when you've submitted them um and I will help you out uh and we'll go through them okay so now we need to um what's the word I'm looking for we need to simplify this so I'm going to simplify the right side yeah I'm going to take this slowly just because I feel a bit tired so I am prone to make mistakes which is why I also want you guys looking out for me 49 + 1 is 50 - 7 is 43 x^2 thank you so much Hannah I really appreciate that um if you let me know what subjects you do do maybe I'll uh you know if it's one that I've done before maybe I can I can help with that potentially um so if I like so actually I'm going to cross out the ones I've done sorry then we've done the 4X and the 14x so we're just left with four again I apologize for the paranoia but it's real now I'm going to move all of this over to the right hand side and what that's going to do is I like to take this step by step so obviously all of these signs will change so we have 43 x^2 - 9 x^2 which is 34 x^2 then we'll have a minus 10 x - 70x which is Go - 60x which is - 70x slip of the tongue four take away 100 which is - 96 = 0 but that's not my answer the answer is here well all they've done is they've divided through by two in an effort to simplify so 17 x^2 - 35x - 48 = 0 which is in indeedly do the answer to the queston so hopefully that makes sense lastly God my voice the last thing it asks us to do it says hence find the value of x this is just solving it's a one marker so you can do it on your calculator because they haven't said you're not allowed to use your calculator so you can literally just do a menu down two write one equation Funk polom polinomial degree is going to be two for pretty much all available maths 17 the number in front of x^2 -35 whoops -35 the number in front of X and -48 the number at the end we get two values we get X is equal to well we should get two values X = to 3 x equals to a weird looking fraction so why does it say work out the value singular well think about it these are lengths so x = 3 length cannot be negative is wild right not B negative that's exactly what I would write in this case hence find the value of theta giving your answer to one decimal place this might be uh relatively easy it's just a sign rule question now uh that's totally fine skying if you want to Hannah I do psychology history and English I wish there were YouTube channels that cover them I didn't do any of those at a level or university so I probably would be you probably know more than I do put it that way um but you can DM it if you want uh Sky King uh Part B hence find the value of theta this just now becomes a um sign rule question so because we know X is 3 7 x is therefore 21 x + 2 is going to be five so again we'll cross these out and then it was three 3 * 3 is 9 + 10 is 19 so now is literally just a s rule question so we have sin Theta over 5 equals sin 60 over 19 that so then sin theta equals uh sin 60 just thinking about how to write it * 5 and then Theta will equal something so let's get here menu back to number one we're going to inverse sign Open Bracket s 60 close bracket 19 multip by five 13 Point does it say how many decimal one decimal place 13.2 do I cover stats yeah so I I do stats as part of the tutoring or teaching or anything like that yeah stats is fine um hold on we have got some submitted questions okay okay okay I'm not going to lie I may well need uh tens I might need the uh other parts of the question to like a to e to do that potentially yeah hypothesis testing is probably the hardest part of as stats no it's how I said as okay give me one second just need some water I've been teaching since like 1050 hey hybrid oh God voice is dying God why is this why God I I do indeed HD I do indeed so the mass of Aly in a small pond the most interesting thing data recorded indicate there is a linear relationship use it to find a complete equation for the model in the form AAL p q to the power of T so um a few different ways to do this um oh look n n is here as well perfect there are a couple ways to do this um one way is starting from here and going back to here so you rearrange it you do all of that fun stuff which I'm actually kind of impartial to right now I actually kind of like that way he no worri yeah I'm I'm kind of tempted to do that is the other way fine I mean the other way is fine as well okay um either way sorry for daydreaming for a second uh you could you could do either so let's let's do the way that they probably intend you to do which is starting from the log equation and working your way to the exponential based equation uh 0.03t oh you've never done Lo logs yet it's a big part of math a big part um this might not make any sense to you I'm not going to lie so if you want me to skip it I'm happy I mean how many that's fine so with this one um again as I mentioned there are actually quite a few different ways to do this so you could start from the the power relationship the exponential relationship and go to the log one or you can go from the log and you can go to the exponential one I'm going to do the log to the exponential even though I think the exponential was a bit easier but whatever so the first thing you want to do is to get rid of the log you need to raise everything to the power of 10 so I'm going to do this in very I normally would skip some steps but let's do it properly so if I raise everything to the power of 10 is we would have something along the lines of this please don't make the mistake of some students in making this two separate ones straight away okay now when you raise something to the power the log will disappear instantly so this still stays AS 0.03t Plus 0.5 from here you don't need logs or exponentials you can just use the normal rules okay so if you don't know logs continue listening from this part okay pretty uh important bit so you can use the rules of indices for the rest of this now if I'm adding two Powers which is what I'm doing right I'm adding these two Powers then that must mean that they are equal to 10^ 0.03t time 10 ^ 0.5 right because when you times two bases you add the powers now the square root of 10 it wants me to give it to four SigFig and that's going to be my value of P because I'm going to move actually know I'm going to take it even slower I'm going to move that 10 to the to the front now I'm going to find the value of square < TK of 10 to four significant figures so we're going to do 10 to the^ of 0.5 whoops not negative 0.5 we get 31622 7766 so 3162 would be the answer to that two and then that's times 10 0.03 that's correct ice cream yeah okay so the plus one doesn't do anything though now we're not done yet because if you notice it it says pq^ of T there is no value in front of the T there's no number so I'm not done yet what we need to do now is work out 10 to the^ of 0.03 again to 4 Sig big and okay I I'll write that out now 16 2 * 1.0 so that's two Sig fig three B SigFig and that'll be uh to the power of T now it's in the form they want a lot of students leave that last step but remember to really look carefully at the answer there's no number in front of T and therefore we need to get rid of the the number in front of T by actually working out what this thing is so be really careful about that pretty good so the next part says interpret the value of the constant p and Q okay so as a hint the number at the front is always a starting amount Carl when will I to be doing GCC maths revision as in live streams or just videos cuz i' the last few videos have all been GCS related so yeah is the starting mass of algae um honestly there hasn't been much demand for it I was thinking of doing some uh and if you think there is demand then maybe I might I might send out a poll on on YouTube just to see what people think um yeah that and most content is also GCC revision I'm more than happy to do GCC revision more than happy to do it um but again what I'll do is I'll send out a poll and see see what people are like um and it might have to be might have to be Fridays or Wednesdays I think Wednesdays might be better cuz Fridays is a bit tragic IC uh let's leave it as a yeah Wednesdays might be better um part two the value of the constant Q uh that would just be kind of like a uh there's a couple of months left ntha couple months left let get start in May so they have March and April yet so um what was I going to say yes so Q is like a growth factor I would say or the rate at which the uh algae algae is growing uh part C find the mass when tal 8 that shouldn't be too bad you just need to sub in tal 8 into the equation then the number of weeks we are going to have to use logarithms so how um so yeah um part C so part one part one find the mass of the algae after how many weeks uh when tals 8 so they're literally just asking you to sub in t equal 8 into your expression so all you need to do is sub in tal 8 times and that's it it says to the nearest half kilogram so 5.5 a g um there's always a substitution question and the part two I'm willing to bet is going to be working out what T is at sum value yeah so the number of weeks it takes for the mass of the algae to reach four so in this case we're subbing in four for a and then we have to work out um what T is really really common question two times 2 T what I always do and I would thoroughly recommend this because again students make mistakes on this all the time which is aggravating but I do get it is move the 3162 over first do not do the log again you technically can it's just needlessly complicated then you're just going to log both sides there's just a big log button that you can use on your calculator equals log of 1.72 to^ of T the T can come to the front because it is the power rule for logs again if you haven't done logs this might make absolutely no sense to you um I I think I have a video doing logs I think I cannot remember and then moving the T over at the last minute again I wouldn't combine the logs so some students try and combine them which you can't do don't forget the rule for logs is if you subtract them you can write them as a division when you divide them you can't simplify the logs like that okay so don't do it like that intro to logs yeah I thought I did that sounded familiar so you guys obviously aren just like watching my stuff which okay that's fine um I'm joking uh 4 over 3 162 close the bracket over again I hate how they move the log button Eevee how are you and you get 6.5 wait it says to what to the nearest week doesn't say anything so let say 6.6 weeks I am great as well that's five what do you mean ice cream I'm glad to hear you good Eevee and I'm doing well as well that's 54 4 kgrs he level math hasn't beaten you I'm glad to hear it already done all of it fair play as in you've covered it all or you've done the exam for it damn fair fair play oh oh did I oh ice cream Savor 3.3 thank you I told you I'd make a mistake I told you I'd make a mistake I'm I've been teaching since 10:00 this morning it's uh driving me B is so good nice I'm glad you like it it's always good to hear when people actually like uh like maths because it it can be I don't know to be fair I only really truly appreciated maths when I did University so I'm not going to judge anyone if they don't like it at the moment yeah well done Eevee seems like you're on that grind so in the long term why might it not be a level is a little bit shallow um realistic model in the long term why might it not be well a good thing to do now is to basically sub in a really big number and see why it's stupid so 3162 * 1.72 so let's say what happens after like a th000 weeks math error that's not that was 10,000 weeks 1,000 weeks that's the mass I'm pretty sure that's about as big as the Galaxy you know like about a million stars worth of uh algae it's pretty big so the reason why is wouldn't work long term is because the algae can't grow exponentially forever that's the idea um I I'm not going to lie I don't remember you kuso your your profile picture looks familiar but the name the name's not sticking with me am I able to answer stats questions I sure hope so um yeah so all you would say is long term actually no would even write that I'd say the um the algae has to stop growing eventually or cannot grow exponentially forever for ever okay and yeah that makes sense right after a th weeks which is about what 20 years 20 years it's going to be heavier than the Galaxy see I would hope not I would hope not cuz that's a truly truly orwellian time we're look living in yeah I like I like logs and exponentials I think they're pretty solid I think they're not too difficult but not too easy either they're nice that's that's the important thing binomial expansion I'm hoping I don't have to go through this might have to uh have to Skid out I'm not going to lie my League's favorite part is bonom expansion even though it's really useful in real life oh I see okay now I know who you are not doing mat a level cuz it feels like was me honestly I would only pick a level maths if you need it for the future I wouldn't even pick it even if you're interested in it because it is one of those tricky a levels it's it's not one of the well okay there are no Easy A Levels but it is a it is a lot of work um but I'm glad you find it interesting that that's really important yeah you probably did the right thing in not picking a Lev mats if you don't need it okay get another drink my voice is dying so again I would encourage any of you to uh in the in the Discord just post any questions that you want to go through and I can go through them in the future um which is that's right that's a good point Eevee does need to Cho if it's that easy but um yeah I think I might call it here and then I can gather some questions for you guys to go through next uh next week God my brain is is turning off right now um rapidly uh where did you send it Eevee is last few questions even difficult oh okay so you can just send it in the in the chat then if it's a quick one but again is Al physics as hard as everyone says I would say a level physics It's a combination of two things that make it hard one is the teachers generally suck now why do I say this because most physics teachers in air quotes are not physics Specialists so they might get a maths teacher with a degree in engineering to try and teach you A- level physics but that's not their specialty that's not what they're trained for and it's also not what they've taught most of the time so that's one reason and that's what I'm finding in my a level physics classes uh for tuition is it's the teachers that are really letting the students down the second thing is it requires a different type of thinking which we don't really train in GCSE if that makes sense you have to really apply your logic and your problem solving which really isn't tested yeah it is hard but I think those two things make it really hard is a the way that you have to think about questions and B the sucky teachers uh yeah hold on I'm going to put something in the chat okay there we go basically there's an emoji that covers up part of the chat and I can't get rid of it um so let me just read this it's flipping a coin and I have my uh expected value of x as 3.19 and I want the probability to use it if bom distri by the number of possible heads yes yeah there should be 3.19 over five again I'm not going to lie I am not in the right frame of mind Eevee can I ask is your AEV physics teacher like do you know what his their background is like are they actually a physics specialist if you know again if you know they might not tell you um yeah I'm fine it's just that I've taught since 10:00 this morning so yeah I'm telling you I'm telling you most physics teachers kind of suck I'm not going to lie I'm not going to lie to you it's I have more kids in my a level physics tutoring than a level maths crazy yep really common um so yeah it's really really common yeah I want to point out all a levels are difficult they're a lot of work all of them are the reason why I say physics is especially hard is mainly because of the teachers mainly so just keep that in mind there aren't any Easy A Levels I will die on that Hill I promise you I had a friend do a level music and she showed me the stuff that she was doing it's crazy yeah maths you can use textbooks so the textbooks are good but the even the physics text textbooks are kind of kind of garbage not going to lie um but with physics again you need a good teacher but of course you know do do what you got to okay yeah so I'm being a bit useless now you're very welcome Eevee I'm glad that it seems to be going well for you I'm also glad that you do Maths for the math and physics that's dope fully fully support that if you do a Physics degree definitely let me know because uh that's your boy specialty no math degree are you sure now I'm joking of course maths maths or or physics um yeah you want to drop it what do you mean oh oh you know what you know what fair fair I actually because of your situation with your teachers I agree I love physics so me saying don't do physics if the teachers are are ass that says a lot just saying exactly but yeah like the the kids I tutor for physics their teachers are well there's something else but anyways instead of me ragging on people for the rest of this just hire me exactly your school should hire me all school should hire me at once do some Physics pass paper questions you're tempting me you are tempting me I did do a couple videos on Al physics last year all right fine okay you know maybe I like physics so I don't mind okay so I'm going to leave it there um I hope you all have a really good evening thank you for joining but again if you have any questions please submit them for next week and I will um look at them I'll do them how' you get better at English uh in terms of wait is that gcsc or a level ment I think it's gcsc right all right yeah I think Nia's got this handled did you actually bloody hell well done and at least you assume you got full marks well there you go millison talk to nitha if you join the Discord uh nith's in there a lot and then uh ask ask ask for help that's the best way to do it yeah anyways enjoy your evenings everyone I will see you next week or in the videos or or in Discord or whatever so have a good evening see you guys later enjoy